Is 4100 is a composite number or not ?
- As we already know that, the number having factors 1 and the number itself is the prime number.
- And numbers having more than these two factors are the composite numbers.
- To check whether the number 4100 is composite or not first we have to find its factors.
Contents
Factors of 4100:
- If we have taken numbers from 1, 2, 3…for checking factors of 4100 we found that 4100 has factors 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050 and 4100. Hence, we must say that 4100 is a composite number.
- Thus, 4100 is the composite number.
- If we multiply 4100 by 1, 2, 3 then we get the multiples of 4100 which are 4100, 8200 and so on.
About the number 4100:
- 4100 has more than two factors which are 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050 and 4100 and hence it is the composite number.
- 4100 is the even composite number and it is not the perfect square also.
- If we divide 4100 by, 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050 and 4100 then we get remainder as zero. Hence, 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050 and 4100 are the factors of 4100.
Note:
- 4100 is not the perfect square.
- Factors of 4100: 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050 and 4100
- Prime factors of 4100: 2, 5, 41
Conclusion:
- 4100 is the composite number which has factors, 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050 and 4100
- And hence, 4100 is not the prime number.
Multiple Choice Questions:
1) 4100 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 4100 are
a) 4100
b) 2, 5, 41
c) 4, 10, 20, 25, 50, 82, 100, 164, 205, 410, 820, 1025, 2050 and 4100
d) 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050 and 4100
Ans: c) 4, 10, 20, 25, 50, 82, 100, 164, 205, 410, 820, 1025, 2050 and 4100
3) 4100 is composite number because
a) It has factors 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050 and 4100
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b